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Finding the Third Proportional to 711,535,258,620 and 1,083,974,748,462

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Solution

The third proportional to 711,535,258,620 and 1,083,974,748,462 is: 1,651,360,548,993.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,535,258,620 : 1,083,974,748,462 = 1,083,974,748,462 : x
  2. Step 2: Convert to fraction form
    711,535,258,620/1,083,974,748,462 = 1,083,974,748,462/x
  3. Step 3: Cross multiply
    711,535,258,620x = 1,083,974,748,462 × 1,083,974,748,462
  4. Step 4: Simplify right side
    711,535,258,620x = 1,175,001,255,303,256,207,261,696
  5. Step 5: Solve for x
    x = 1,175,001,255,303,256,207,261,696/711,535,258,620
  6. Step 6: Final answer
    x = 1,651,360,548,993.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.